   Chapter 16, Problem 1RQ

Chapter
Section
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.1. If F is a vector field, then div F is a vector field.

To determine

Whether the statement “If F is a vector field, then div F is a vector field” is true or false.

Explanation

Consider F is a three-dimensional vector field that is F(x,y,z)=F1i+F2j+F3k .

The divF(F) is calculated as follows,

F=(xi+yj+zk)

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